Regular Balanced Cayley Maps for Cyclic, Dihedral and Generalized Quaternion Groups

Citation
Wang, Yan et Feng, Rong Quan, Regular Balanced Cayley Maps for Cyclic, Dihedral and Generalized Quaternion Groups, Acta mathematica Sinica. English series (Print) , 21(4), 2005, pp. 773-778
ISSN journal
14398516
Volume
21
Issue
4
Year of publication
2005
Pages
773 - 778
Database
ACNP
SICI code
Abstract
A Cayley map is a Cayley graph embedded in an orientable surface such that the local rotations at every vertex are identical. In this paper, balanced regular Cayley maps for cyclic groups, dihedral groups, and generalized quaternion groups are classified.